Maths Exam

1. Simplify 1

Simplify the following expression: $$ 2\left(3 - 4\right)\left(4 - 1 + 5\times5\right) $$
Correct Answer
$$ -56$$ or -56.0000

2. Simplify 2

Simplify the following expression: $$ \frac{\left(3 - 2\right){2}^{-6}}{2\times6(-6)} $$
Correct Answer
$$ \frac{-1}{4608}$$ or -0.000217014

3. Fractions 1

Simplify the following expression: $$ \frac{-1}{2} + \frac{1}{5} $$
Correct Answer
$$ \frac{-3}{10}$$ or -0.3

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{-3}{6}}{\frac{-5}{4}} $$
Correct Answer
$$ \frac{2}{5}$$ or 0.4

5. Significant figures

1. Write the following to 5 significant figures: 5676.7409
Correct Answer
5676.7 or $$5.6767\times10^{3}$$
2. Write the following to 4 significant figures: 0.0047987737
Correct Answer
0.004799 or $$4.799\times10^{-3}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 0.0000869958
Correct Answer
$$8.70\times10^{-5}$$
2. Write the following in standard form to 5 significant digits: 0.0461746
Correct Answer
$$4.6175\times10^{-2}$$

7. Significant figures

1. Write the following in preferred standard form to 5 significant digits: 1.007718
Correct Answer
$$1.0077\times10^{0}$$
2. Write the following in preferred standard form to 5 significant digits: 68189.7
Correct Answer
$$68.190\times10^{3}$$

8. Simplify 2

Simplify the following expression: $$ \frac{-3}{1} + \frac{-4}{6} - {\left(-5 - 4\right)}^{2} $$
Correct Answer
$$ \frac{-254}{3}$$ or -84.6667

9. Simplify 1

Simplify the following expression: $$ -1 + -6 - 2\times2 + {\left(-4 - 6\right)}^{2} $$
Correct Answer
$$ 89$$ or 89.0000

10. Simplify 2

Simplify the following expression: $$ \frac{-3}{-3} - -2\times1 + {\left(-5 + 5\right)}^{2} $$
Correct Answer
$$ 3$$ or 3.00000


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